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Finding the Third Proportional to 327,282,650 and 508,168,706

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Solution

The third proportional to 327,282,650 and 508,168,706 is: 789,028,791.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,282,650 : 508,168,706 = 508,168,706 : x
  2. Step 2: Convert to fraction form
    327,282,650/508,168,706 = 508,168,706/x
  3. Step 3: Cross multiply
    327,282,650x = 508,168,706 × 508,168,706
  4. Step 4: Simplify right side
    327,282,650x = 258,235,433,757,714,432
  5. Step 5: Solve for x
    x = 258,235,433,757,714,432/327,282,650
  6. Step 6: Final answer
    x = 789,028,791.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.